Measures of Dispersion Test

Result

Measures of Dispersion Test - 41

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Weekly Quiz Competition

Question 1
1 / -0

The $$P_82$$ for the following distribution is
X 2 3 4 5 6 7 8 9 10 11
Y 3 6 9 18 20 14 10 10 7 2

A
$$6$$

B
$$5$$

C
$$8$$

D
$$9$$
Question 2
1 / -0

In a group, $$2$$ students spend Rs$$8$$ daily, $$3$$ students spend Rs$$10$$ daily and $$5$$ students spend Rs$$6$$ daily. The average spending of all $$10$$ students is _______.

A
$$7.6$$

B
$$5.8$$

C
$$8.5$$

D
$$6.7$$
Question 3
1 / -0

Given mean = $$70.2$$ and mode = $$70.5$$, find median using empirical relationship among them.

A
$$70.3$$

B
$$70.5$$

C
$$70.6$$

D
$$70.4$$
Question 4
1 / -0

The mean of $$100$$ observations is $$18.4$$ and sum of sqares of deviations from mean is $$1444$$, the Co-efficient of variation is ______.

A
$$30.6$$

B
$$35.6$$

C
$$20.6$$

D
$$10.6$$
Question 5
1 / -0

The mean of $$25$$ observations is $$73.408$$. If one observation $$64$$ is removed, the revised mean is ______.

A
$$72.8$$

B
$$73.8$$

C
$$80.8$$

D
$$76.8$$
Question 6
1 / -0

For a grouped date, the formula for median is based on _______.

A
interpolation method

B
extrapolation method

C
trial and error

D
iterative method
Question 7
1 / -0

In a class of 100, the mean on a certain exam was 50, the standard deviation, 0. This means..........................

A
half the class had scores less than 50

B
there was a high correlation between ability and grade

C
everyone had a score of exactly 50

D
half the class had 0's and half had 50's

Solution

Standard deviation is the square root of the arithmetic mean of the squares of the deviations measured from the arithmetic mean of the data. If standard deviation of a certain series is zero than it denotes that all the values of that series is equal to the mean of the series which made all the deviations zero and therefore standard deviation also zero.
Question 8
1 / -0

The following data show the number of hours worked by 200 statistics students:
Number of Hours
Frequency
0-9
40
10-19
50
20-29
70
30-39
40
The class width for this distribution is.........

A
9

B
10

C
11

D
Varies from class to class
Question 9
1 / -0

A student obtained the mean and the standard deviation of 100 observations as 40 and 5.1. It was later found that one observation was wrongly copied as 50, the correct figure being 40. Find the correct mean and the S. D.

A
Mean = 38.8, S. D. = 5

B
Mean = 39.9, S. D. = 5

C
Mean = 39.9, S. D. = 4

D
None
Question 10
1 / -0

The standard deviation of the data:
$$x:$$ $$1$$ $$a$$ $${a}^{2}$$........$${a}^{n}$$
$$f:$$ $${ _{ }^{ n }{ C } }_{ 0 }$$ $${ _{ }^{ n }{ C } }_{ 1 }$$.....$${ _{ }^{ n }{ C } }_{ n }$$ is

A
$${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ n }-{ \left( \cfrac { 1+{ a }^{ } }{ 2 } \right) }^{ n }$$

B
$${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ 2n }-{ \left( \cfrac { 1+{ a }^{ } }{ 2 } \right) }^{ n }$$

C
$${ \left( \cfrac { 1+{ a }^{ 2 } }{2 } \right) }^{ 2n }-{ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ n }$$

D
None of these

Solution

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Re-Attempt Weekly Quiz Competition

Number of Hours	Frequency
0-9	40
10-19	50
20-29	70
30-39	40

Measures of Dispersion Test - 41

Result

Measures of Dispersion Test - 41

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Rank

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Question 1

$$6$$

$$5$$

$$8$$

$$9$$

Question 2

$$7.6$$

$$5.8$$

$$8.5$$

$$6.7$$

Question 3

$$70.3$$

$$70.5$$

$$70.6$$

$$70.4$$

Question 4

$$30.6$$

$$35.6$$

$$20.6$$

$$10.6$$

Question 5

$$72.8$$

$$73.8$$

$$80.8$$

$$76.8$$

Question 6

interpolation method

extrapolation method

trial and error

iterative method

Question 7

half the class had scores less than 50

there was a high correlation between ability and grade

everyone had a score of exactly 50

half the class had 0's and half had 50's

Solution

Question 8

9

10

11

Varies from class to class

Question 9

Mean = 38.8, S. D. = 5

Mean = 39.9, S. D. = 5

Mean = 39.9, S. D. = 4

None

Question 10

$${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ n }-{ \left( \cfrac { 1+{ a }^{ } }{ 2 } \right) }^{ n }$$

$${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ 2n }-{ \left( \cfrac { 1+{ a }^{ } }{ 2 } \right) }^{ n }$$

$${ \left( \cfrac { 1+{ a }^{ 2 } }{2 } \right) }^{ 2n }-{ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ n }$$

None of these

Solution

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